Combinatorial study of morsifications of real univariate singularities-Reference-Cited by-同舟云学术

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Combinatorial study of morsifications of real univariate singularities

Published:2024-07-10 Issue: Volume: Page:
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Bodin Arnaud¹^ORCID,García Barroso Evelia Rosa²^ORCID,Popescu‐Pampu Patrick¹^ORCID,Sorea Miruna‐Ştefana³^ORCID

Affiliation:

1. Laboratoire Paul Painlevé, CNRS Université de Lille Lille France

2. Departamento de Matemáticas, IMAULL Universidad de La Laguna La Laguna Tenerife Spain

3. Lucian Blaga University of Sibiu Sibiu Romania

Abstract

AbstractWe study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions via planar contact trees constructed from Newton–Puiseux roots of the polar curves of the morsifications.

Funder

Universidad de La Laguna

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202300418

Reference20 articles.

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3. Poincaré‐Reeb graphs of real algebraic domains;Bodin A.;Rev. Mat. Complut.,2023

4. Plane Algebraic Curves

5. Functions of Several Complex Variables and Their Singularities

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